We begin by briefly reviewing the state sum construction of two-dimensional area-dependent quantum field theory with defects [1]}. We define area-dependent quantum field theories in the spirit of [2]}, [3]}, [4]} as symmetric monoidal functors from a bordism category into an appropriate target category. Then we recall some details of the state sum construction,
and discuss transmissive defects which are the topological defects in area-dependent theories.
